I agree. The basic theme of this lesson is the Accusative: for the Object of a sentence.
All of a sudden, a Dative is thrown in. If Studeo/Studere takes Dative generally, it should be indicated as such, sic: studeo [+ Dat.]. However, we have yet to be introduced to Dative at all, so this sentence is definitely misplaced here, and should be reserved for later, ie. the Dative lesson.
"Latinis litteris" is dative, whereas "latinas litteras" is accusative. The verb "studeo" requires a dative object instead of an accusative object because it literally means something like "to strive for" or "to dedicate oneself to". A verb like lego (and most verbs, I believe) take an accusative object, whereas a verb like studeo (and a couple of dozen others, as I understand it) take a dative object.